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Andreyy89
2 years ago
12

Which expression represents the approximate length

Mathematics
1 answer:
Viktor [21]2 years ago
8 0

The expression that represents the approximate length of BC is; A: (3) sin(66)/sin (38)

<h3>Trigonometric Ratios</h3>

From the given triangle ABC, we see that;

∠A = 66°

∠C = 38°

AB = 3

Thus using sine rule, we have;

AB/sin C = BC/sin A

3/sin 38 = BC/sin 66

BC = (3sin 66)/sin 38

BC = 4.45

Read more about Sine rule at;brainly.com/question/4372174

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Soni rent Anju a sum of Rs 40,000 at the rate of 2 paisa per 2 rupees per
galben [10]

Answer:

RS 14400

Step-by-step explanation:

Given the following :

Principal sum = RS 40000

Rate = 2 paisa per 2 rupee per month

Interest at the end of 3 years

1 rupee = 100 paisa

2 Paisa per 2 rupee per month :

2/200 per month = 1 / 100 per month,

Hence rate = 0.01 = 1% monthly

Annual rate = 1% × 12 = 12 % = 0.12

Simple interest :

Principal × rate × time

40000 × 0.12 × 3

40000 × 0.36

= RS 14,400

3 0
3 years ago
What is the symbol for a segment bisector
lutik1710 [3]
This is the symbol for a segment bisector in geometry

Hope this helps!! :)

4 0
3 years ago
If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?
MatroZZZ [7]
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but :  p(A)×p(B) = 0.44×0.75 = 0.33
 conclusion : 
<span>the events A and B  are not  independent ?</span>
6 0
3 years ago
I NEED HELP !!! 30 points!!!! and brainliest :)<br><br>please give sensible answer :(<br><br><br>​
Allushta [10]

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> \frac{180-x}{2}+45=115 \\

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS   is an isosceles triangle => ∠TQS = 180 -2x

QRS   is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => \left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.

=> x + y = 80

12) EFJ Is an equilateral  triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°

7 0
2 years ago
A rectangle and a triangle with the same base and height have the same area.
OverLord2011 [107]
The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....
5 0
3 years ago
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